Titlebook: Dynamical Systems with Applications using Maple?; Stephen Lynch Textbook 2010Latest edition Birkh?user Boston 2010 Chaos.MATLAB.Maple.comp

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978-0-8176-4389-8Birkh?user Boston 2010

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A Tutorial Introduction to Maple,? To provide a concise source of reference for experienced users..On completion of this chapter, the reader should be able to.? use Maple as a tool;.? produce simple Maple worksheets;.? access some Maple commands and worksheets over the World Wide Web.

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Differential Equations,d uniqueness theorem..On completion of this chapter, the reader should be able to.? solve certain first- and second-order differential equations;.? apply the theory to chemical kinetics and electric circuits;.? interpret the solutions in physical terms;.? understand the existence and uniqueness theorem and its implications.

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Planar Systems,n completion of this chapter, the reader should be able to.? find and classify critical points in the plane;.? carry out simple linear transformations;.? construct phase plane diagrams using isoclines, vector fields, and eigenvectors;.? apply the theory to simple modeling problems.

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Limit Cycles,ce perturbation methods..On completion of this chapter, the reader should be able to.? prove existence and uniqueness of a limit cycle;.? prove that certain systems have no limit cycles;.? interpret limit cycle behavior in physical terms;.? find approximate solutions for perturbed systems.